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Finding the Fourth Proportional to 415,385.16, 623,091.78 and 115,873.08

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Solution

The fourth proportional to 415,385.16, 623,091.78 and 115,873.08 is: 173,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,385.16 : 623,091.78 = 115,873.08 : x
  2. Step 2: Convert to fraction form
    415,385.16/623,091.78 = 115,873.08/x
  3. Step 3: Cross multiply
    415,385.16x = 623,091.78 × 115,873.08
  4. Step 4: Simplify right side
    415,385.16x = 72,199,563,671.28
  5. Step 5: Solve for x
    x = 72,199,563,671.28/415,385.16
  6. Step 6: Final answer
    x = 173,813.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.